100667370668040 has 192 divisors, whose sum is σ = 357428111227200. Its totient is φ = 24368893171200.

The previous prime is 100667370668021. The next prime is 100667370668077. The reversal of 100667370668040 is 40866073766001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15658035 + ... + 21130754.

It is an arithmetic number, because the mean of its divisors is an integer number (1861604745975).

Almost surely, 2^{100667370668040} is an apocalyptic number.

100667370668040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100667370668040 is an abundant number, since it is smaller than the sum of its proper divisors (256760740559160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100667370668040 is a wasteful number, since it uses less digits than its factorization.

100667370668040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36789508 (or 36789501 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 100667370668040 in words is "one hundred trillion, six hundred sixty-seven billion, three hundred seventy million, six hundred sixty-eight thousand, forty".